Search a number
-
+
120034120031 = 7210922474091
BaseRepresentation
bin110111111001010010…
…1110101000101011111
3102110211101101002101022
41233302211311011133
53431312213320111
6131050511434355
711446362120500
oct1576245650537
9373741332338
10120034120031
11469a7149aa1
121b31b2259bb
13b41c2a2737
145b49aa8ba7
1531c7e952db
hex1bf297515f

120034120031 has 12 divisors (see below), whose sum is σ = 140912556840. Its totient is φ = 101942472240.

The previous prime is 120034120021. The next prime is 120034120051. The reversal of 120034120031 is 130021430021.

It is not a de Polignac number, because 120034120031 - 26 = 120034119967 is a prime.

It is a super-2 number, since 2×1200341200312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120034119991 and 120034120009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120034120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11231705 + ... + 11242386.

It is an arithmetic number, because the mean of its divisors is an integer number (11742713070).

Almost surely, 2120034120031 is an apocalyptic number.

120034120031 is a deficient number, since it is larger than the sum of its proper divisors (20878436809).

120034120031 is a wasteful number, since it uses less digits than its factorization.

120034120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22474214 (or 22474207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120034120031 its reverse (130021430021), we get a palindrome (250055550052).

The spelling of 120034120031 in words is "one hundred twenty billion, thirty-four million, one hundred twenty thousand, thirty-one".

Divisors: 1 7 49 109 763 5341 22474091 157318637 1101230459 2449675919 17147731433 120034120031